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Finding the Fourth Proportional to 32,948, 49,298 and 23,106.48

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Solution

The fourth proportional to 32,948, 49,298 and 23,106.48 is: 34,572.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,948 : 49,298 = 23,106.48 : x
  2. Step 2: Convert to fraction form
    32,948/49,298 = 23,106.48/x
  3. Step 3: Cross multiply
    32,948x = 49,298 × 23,106.48
  4. Step 4: Simplify right side
    32,948x = 1,139,103,251.04
  5. Step 5: Solve for x
    x = 1,139,103,251.04/32,948
  6. Step 6: Final answer
    x = 34,572.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.